Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8318/791, 2375/972 quickly i.e. 19755250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8318/791, 2375/972 is 19755250.
LCM(8318/791, 2375/972) = 19755250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8318/791,2375/972
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8318,2375
Least Common Multiple of Numerators i.e. LCM of 8318,2375 is 19755250.
GCF of Denominators means GCF of 791,972 as per the given fractions.
GCF of 791,972 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8318,2375
Given numbers has no common factors except 1. So, there LCM is their product i.e 19755250
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8318,2375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8318,2375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8318,2375) x common factors =1 x 1 = 1
LCM(8318,2375) = ( 8318 × 2375 ) / 1
LCM(8318,2375) = 19755250 / 1
LCM(8318,2375) = 19755250
Lets's calculate GCF of 791,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19755250/1
Therefore the LCM of Fractions 8318/791,2375/972 is 19755250
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 791,972 . The biggest common factor number is the GCF number.
So the greatest common factor 791,972 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8318/791, 2375/972?
Answer: LCM of Numerators as per given numbers 8318/791, 2375/972 is
LCM of Numerators i.e. for 8318,2375 is 19755250
GCF of denominators i.e. for 791,972 is 1.
Thus, LCM of Fractions is 19755250.Finally, LCM of Fractions for 8318/791, 2375/972 is 19755250.